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Finding the Fourth Proportional to 3,193.57, 4,792.17 and 1,462.20

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Solution

The fourth proportional to 3,193.57, 4,792.17 and 1,462.20 is: 2,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.57 : 4,792.17 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    3,193.57/4,792.17 = 1,462.20/x
  3. Step 3: Cross multiply
    3,193.57x = 4,792.17 × 1,462.20
  4. Step 4: Simplify right side
    3,193.57x = 7,007,110.97
  5. Step 5: Solve for x
    x = 7,007,110.97/3,193.57
  6. Step 6: Final answer
    x = 2,194.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.